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Finding the Third Proportional to 51,407,229 and 111,278,634

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Solution

The third proportional to 51,407,229 and 111,278,634 is: 240,879,242.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,407,229 : 111,278,634 = 111,278,634 : x
  2. Step 2: Convert to fraction form
    51,407,229/111,278,634 = 111,278,634/x
  3. Step 3: Cross multiply
    51,407,229x = 111,278,634 × 111,278,634
  4. Step 4: Simplify right side
    51,407,229x = 12,382,934,384,905,956
  5. Step 5: Solve for x
    x = 12,382,934,384,905,956/51,407,229
  6. Step 6: Final answer
    x = 240,879,242.58

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.